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80450766 = 233111731257
BaseRepresentation
bin1001100101110…
…01010011001110
312121101022201000
410302321103032
5131043411031
611552201130
71664551224
oct462712316
9177338630
1080450766
1141459940
1222b391a6
131388a606
14a982b14
1570e23e6
hex4cb94ce

80450766 has 128 divisors (see below), whose sum is σ = 213995520. Its totient is φ = 22118400.

The previous prime is 80450761. The next prime is 80450789. The reversal of 80450766 is 66705408.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 80450766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80450761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312910 + ... + 313166.

It is an arithmetic number, because the mean of its divisors is an integer number (1671840).

Almost surely, 280450766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80450766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106997760).

80450766 is an abundant number, since it is smaller than the sum of its proper divisors (133544754).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80450766 is a wasteful number, since it uses less digits than its factorization.

80450766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 80450766 is about 8969.4350992691. The cubic root of 80450766 is about 431.6947110044.

The spelling of 80450766 in words is "eighty million, four hundred fifty thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 11 17 18 22 27 31 33 34 51 54 62 66 93 99 102 153 186 187 198 257 279 297 306 341 374 459 514 527 558 561 594 682 771 837 918 1023 1054 1122 1542 1581 1674 1683 2046 2313 2827 3069 3162 3366 4369 4626 4743 5049 5654 5797 6138 6939 7967 8481 8738 9207 9486 10098 11594 13107 13878 14229 15934 16962 17391 18414 23901 25443 26214 28458 34782 39321 47802 48059 50886 52173 71703 76329 78642 87637 96118 104346 117963 135439 143406 144177 152658 156519 175274 215109 235926 262911 270878 288354 313038 406317 430218 432531 525822 788733 812634 865062 1218951 1297593 1489829 1577466 2366199 2437902 2595186 2979658 3656853 4469487 4732398 7313706 8938974 13408461 26816922 40225383 80450766